Article Dans Une Revue Vietnam Journal of Mathematics Année : 2012

Slopes of Multifunctions and Extensions of Metric Regularity

Résumé

This article aims to demonstrate how the definitions of slopes can be extended to multi-valued mappings between metric spaces and applied for characterizing metric regularity. Several kinds of local and nonlocal slopes are defined and several metric regularity properties for set-valued mappings between metric spaces are investigated.

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Dates et versions

hal-00934927 , version 1 (22-01-2014)

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  • HAL Id : hal-00934927 , version 1

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Huynh van Ngai, Alexander Kruger, Michel Théra. Slopes of Multifunctions and Extensions of Metric Regularity. Vietnam Journal of Mathematics, 2012, 40 (2-3), pp.355-369. ⟨hal-00934927⟩

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